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鞍点均衡策略在动态投入产出系统中的应用研究
引用本文:朱怀念,张成科,孙佩红,周海英.鞍点均衡策略在动态投入产出系统中的应用研究[J].系统科学学报,2013(2):94-96.
作者姓名:朱怀念  张成科  孙佩红  周海英
作者单位:[1]广东工业大学管理学院,广东广州510520 [2]广东工业大学经济与贸易学院,广东广州510520
基金项目:国家自然科学基金(70771029,70801019); 省自然科学基金(070117,04009475,2010MS1007)
摘    要:基于W·Leontief提出的动态投入产出模型,讨论了其连续型的最优策略设计问题。利用博弈论的思想,把动态投入产出系统抽象为一个鞍点均衡博弈模型,运用鞍点均衡策略设计出求解动态投入产出问题的新方法,为宏观经济决策提供依据。最后的数值仿真示例证明了此方法的有效性。

关 键 词:动态投入产出分析  微分博弈  鞍点均衡

Research on Application of Saddle Point Equilibrium Strategies into the Dynamic Input-output Systems
ZHU Huai-nian,ZHANG Cheng-ke,SUN Pei-hong,ZHOU Hai-ying.Research on Application of Saddle Point Equilibrium Strategies into the Dynamic Input-output Systems[J].Journal of Systems Science,2013(2):94-96.
Authors:ZHU Huai-nian  ZHANG Cheng-ke  SUN Pei-hong  ZHOU Hai-ying
Institution:1. School of Management, Guangdong University of Technology, Guangzhou 510520, China ; 2. School of Economics and Commence, Guangdong University of Technology, Guangzhou 510520, China)
Abstract:Based on the dynamic input-output model proposed by W · Leontief, the paper investi-gates its optimal control law with continuous form. By using the differential game theory, the dynamic in-put-output system is abstracted as a saddle point equilibrium game. A new method for solving the dynam-ic input-output model is obtained by using the saddle point equilibrium strategies, these results can pro-vide the basis for macroeconomie policy-making. The effectiveness of the algorithm is tested by a numeri-cal example.
Keywords:Dynamic input-output analysis  Differential game  Saddle point equilibrium
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